Methods are provided to operate a communications system including a satellite and a satellite gateway. In particular, a feeder link may be provided between the satellite and the satellite gateway over a feeder link frequency band for communication of information between the satellite gateway and the satellite. A service link may be provided between the satellite and at least one radioterminal in a coverage area of the satellite over a service link frequency band. Moreover, the feeder link and service link frequency bands may be different. In addition, a frequency segment of the feeder link may be linearly translated from the feeder link frequency band to the service link frequency band to provide a frequency segment of the service link. Related satellites are also discussed.